An airplane is heading north at an airspeed of 700 km/hr, but there is a wind blowing from the northeast at 40 km/hr.

The plane will end up flying ______ degrees off course.

The plane's speed relative to the ground will be _____ km/hr.

Sofiya.K
Mar 2, 2018

#1**+1 **

Break the two speeds into their x and y components...then add them together

Airplane ax=0 ay=700

Wind wx= -40 cos45 wy= -40sin45 (see diagram)

= -28.28 = -28.28

Add together for the RESULTANT

x=-28.28 y = 700-28.28= 671.71

Degrees off course will be arctan (-28.28/671.71) = 2.41 degrees off course to the west

Speed will be sqrt ( x^2 + y^2) = 672.3 km/hr

ElectricPavlov
Mar 2, 2018